Question

Derive the energy radiation budget and prepare for its related numerical_

Answer 1

Earth's energy budget accounts for the balance between the energy Earth receives from the Sun,[2] the energy Earth radiates back into outer space after having been distributed throughout the five components of Earth's climate system and having thus powered the so-called Earth’s heat engine.[3] This system is made up of earth's water, ice, atmosphere, rocky crust, and all living things.
Received radiation is unevenly distributed over the planet, because the Sun heats equatorial regions more than polar regions. "The atmosphere and ocean work non-stop to even out solar heating imbalances through evaporation of surface water, convection, rainfall, winds, and ocean circulation."[6] Earth is very close to being in radiative equilibrium, the situation where the incoming solar energy is balanced by an equal flow of heat to space; under that condition, global temperatures will be relatively stable. Globally, over the course of the year, the Earth system—land surfaces, oceans, and atmosphere—absorbs and then radiates back to space an average of about 240 watts of solar power per square meter. Anything that increases or decreases the amount of incoming or outgoing energy will change global temperatures in response.[6]